PYEONGCHANG, South Korea—South Korean President Moon Jae-in said Saturday that he remained hopeful that a recent inter-Korean rapprochement around the Olympics could lead to dialogue between the U.S. and North Korea, even as Pyongyang reiterated it had no intention of seeking talks with Washington.

During a visit to the Pyeongchang Olympics on Saturday, Mr. Moon also said that it was still too early to discuss a possible trip to Pyongyang.